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Finding the Fourth Proportional to 25,042, 37,575.96 and 12,730

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Solution

The fourth proportional to 25,042, 37,575.96 and 12,730 is: 19,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042 : 37,575.96 = 12,730 : x
  2. Step 2: Convert to fraction form
    25,042/37,575.96 = 12,730/x
  3. Step 3: Cross multiply
    25,042x = 37,575.96 × 12,730
  4. Step 4: Simplify right side
    25,042x = 478,341,970.80
  5. Step 5: Solve for x
    x = 478,341,970.80/25,042
  6. Step 6: Final answer
    x = 19,101.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.